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213323111200 = 2552477377719
BaseRepresentation
bin1100011010101100001…
…1000101101100100000
3202101121212001212012101
43012223003011230200
511443341204024300
6241555502340144
721261226345543
oct3065303055440
9671555055171
10213323111200
1182519375901
123541558a654
1317168621224
14a47971885a
155837e4cb6a
hex31ab0c5b20

213323111200 has 144 divisors (see below), whose sum is σ = 539147992320. Its totient is φ = 82368645120.

The previous prime is 213323111147. The next prime is 213323111251. The reversal of 213323111200 is 2111323312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705941 + ... + 2783659.

It is an arithmetic number, because the mean of its divisors is an integer number (3744083280).

Almost surely, 2213323111200 is an apocalyptic number.

213323111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213323111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269573996160).

213323111200 is an abundant number, since it is smaller than the sum of its proper divisors (325824881120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213323111200 is a wasteful number, since it uses less digits than its factorization.

213323111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77859 (or 77846 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213323111200 its reverse (2111323312), we get a palindrome (215434434512).

The spelling of 213323111200 in words is "two hundred thirteen billion, three hundred twenty-three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 73 80 94 100 146 160 188 200 235 292 365 376 400 470 584 730 752 800 940 1168 1175 1460 1504 1825 1880 2336 2350 2920 3431 3650 3760 4700 5840 6862 7300 7520 9400 11680 13724 14600 17155 18800 27448 29200 34310 37600 54896 58400 68620 77719 85775 109792 137240 155438 171550 274480 310876 343100 388595 548960 621752 686200 777190 1243504 1372400 1554380 1942975 2487008 2744800 3108760 3652793 3885950 5673487 6217520 7305586 7771900 11346974 12435040 14611172 15543800 18263965 22693948 28367435 29222344 31087600 36527930 45387896 56734870 58444688 62175200 73055860 90775792 91319825 113469740 116889376 141837175 146111720 181551584 182639650 226939480 266653889 283674350 292223440 365279300 453878960 533307778 567348700 584446880 730558600 907757920 1066615556 1134697400 1333269445 1461117200 2133231112 2269394800 2666538890 2922234400 4266462224 4538789600 5333077780 6666347225 8532924448 10666155560 13332694450 21332311120 26665388900 42664622240 53330777800 106661555600 213323111200